Answer:
35
Step-by-step explanation:
Here we see 5 black keys for every 7 white keys.
So the ratio is 5:7
If we need 49 white keys, find the amount we scale the original ratio by:
49/7 = 7
So we are scaling by a factor of 7.
The number of black keys would be 5 * the scale of 7. = 35
So there should be 35 black keys.
Answer:
No, it is not possible to obtain zero by adding two vectors of unequal magnitudes.
Explanation:
The Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vectors of unequal magnitude cannot be added to give a null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.
Answer:

Step-by-step explanation:
Let
x -----> the number of hours that the painter works
we know that
The inequality that represented this situation is equal to

solve for x
Subtract 60 both sides


Divide by 15 both sides


The maximum number of hours is 2
Answer:
System A should be solved by elimination because you can easily cancel out the 3m to solve.
System B should be solved by substitution. Since the an equation for the y value is given, you can easily substitute it into the other equation.
System C should be solved by graphing. You don't have to worry about any slopes or intercepts to graph. You can graph it using only whole numbers.